Checking bivariate first order dominance
AbstractWe consider the problem of checking first order dominance for finite bivariate distributions. We observe that this can be formulated as a special bipartite network problem related to the classical transportation problem. We exploit this observation to develop a new characterization of first order dominance and fast dominance-checking algorithms.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Business and Economics, University of Southern Denmark in its series Discussion Papers of Business and Economics with number 9/2013.
Length: 18 pages
Date of creation: 27 May 2013
Date of revision:
Contact details of provider:
Postal: Department of Business and Economics, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
Phone: 65 50 32 33
Fax: 65 50 32 37
Web page: http://www.sdu.dk/ivoe
More information through EDIRC
Multidimensional first order dominance; usual stochastic order; characterization; network problem; checking algorithm;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-09 (All new papers)
- NEP-CMP-2013-06-09 (Computational Economics)
- NEP-MIC-2013-06-09 (Microeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Russell, William R & Seo, Tae Kun, 1978. "Ordering Uncertain Prospects: The Multivariate Utility Functions Case," Review of Economic Studies, Wiley Blackwell, vol. 45(3), pages 605-10, October.
- K. C. Mosler, 1984. "Stochastic Dominance Decision Rules when the Attributes are Utility Independent," Management Science, INFORMS, vol. 30(11), pages 1311-1322, November.
- Levhari, David & Paroush, Jacob & Peleg, Bezalel, 1975. "Efficiency Analysis for Multivariate Distributions," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 87-91, January.
- Gravel, Nicolas & Moyes, Patrick, 2012.
"Ethically robust comparisons of bidimensional distributions with an ordinal attribute,"
Journal of Economic Theory,
Elsevier, vol. 147(4), pages 1384-1426.
- Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
- Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
- Arndt, Channing & Hussain, M. Azhar & Salvucci, Vincenzo & Tarp, Finn & Osterdal, Lars, 2013. "Advancing small area estimation," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
- Vijay S. Bawa, 1982. "Research Bibliography---Stochastic Dominance: A Research Bibliography," Management Science, INFORMS, vol. 28(6), pages 698-712, June.
- Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Osterdal, Lars Peter & Huong, Pham Lan, 2012.
"Ordinal Welfare Comparisons with Multiple Discrete Indicators:A First Order Dominance Approach and Application to Child Poverty,"
Working Paper Series
UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
- Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Østerdal, Lars Peter & Huong, Pham Lan & Ibraimo, Maimuna, 2012. "Ordinal Welfare Comparisons with Multiple Discrete Indicators: A First Order Dominance Approach and Application to Child Poverty," World Development, Elsevier, vol. 40(11), pages 2290-2301.
- Channing Arndt & Roberta Distante & M. Azhar Hussain & Lars Peter Østerdal & Pham Lan Huong & Maimuna Ibraimo, 2011. "Ordinal Welfare Comparisons with Multiple Discrete Indicators: A First Order Dominance Approach and Application to Child Poverty," Discussion Papers 11-13, University of Copenhagen. Department of Economics.
- Huang, C C & Kira, D & Vertinsky, I, 1978. "Stochastic Dominance Rules for Multi-attribute Utility Functions," Review of Economic Studies, Wiley Blackwell, vol. 45(3), pages 611-15, October.
- Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Management Science, INFORMS, vol. 34(4), pages 454-460, April.
- Hussain, M. Azhar & Jørgensen, Mette Møller & Østerdal, Lars Peter, 2014. "Refining Population Health Comparisons: A Multidimensional First Order Dominance Approach," COHERE Working Paper 2014:5, COHERE - Centre of Health Economics Research, University of Southern Denmark.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lene Holbæk).
If references are entirely missing, you can add them using this form.